Подставляем значения переменных и упрощаем:
\frac{(-\frac{2}{5})^2 - 2.5^2}{6 \cdot (-\frac{2}{5}) \cdot 2.5^3} \cdot \frac{(-\frac{2}{5})^3 \cdot 2.5^3}{(-\frac{2}{5})^3 - (-\frac{2}{5})^2 \cdot 2.5}
= \frac{(\frac{4}{25}) - 6.25}{-3.75} \cdot \frac{(-\frac{8}{125}) \cdot 15.625}{(\frac{8}{125}) - (\frac{4}{25}) \cdot 2.5}
= \frac{\frac{4}{25} - \frac{25}{4}}{-3.75} \cdot \frac{-\frac{40}{125} \cdot 15.625}{\frac{8}{125} - \frac{10}{25}}
= \frac{-\frac{481}{100}}{-3.75} \cdot \frac{-\frac{625}{500} \cdot 15.625}{\frac{8}{125} - \frac{10}{25}}
= \frac{\frac{481}{100} \cdot \frac{1}{3.75} \cdot \frac{625}{500} \cdot 15.625}{\frac{8}{125} - \frac{10}{25}}
= \frac{\frac{481}{375} \cdot \frac{125}{2} \cdot 15.625}{\frac{8}{125} - \frac{5}{25}}
= \frac{\frac{481}{375} \cdot 62.5 \cdot 15.625}{\frac{8}{125} - \frac{5}{25}}
= \frac{0.67946666667 \cdot 62.5 \cdot 15.625}{0.1 - 0.2}
= \frac{668.479166675}{-0.1}
= -6684.7916675.
Подставляем значения переменных и упрощаем:
\frac{(-\frac{2}{5})^2 - 2.5^2}{6 \cdot (-\frac{2}{5}) \cdot 2.5^3} \cdot \frac{(-\frac{2}{5})^3 \cdot 2.5^3}{(-\frac{2}{5})^3 - (-\frac{2}{5})^2 \cdot 2.5}
= \frac{(\frac{4}{25}) - 6.25}{-3.75} \cdot \frac{(-\frac{8}{125}) \cdot 15.625}{(\frac{8}{125}) - (\frac{4}{25}) \cdot 2.5}
= \frac{\frac{4}{25} - \frac{25}{4}}{-3.75} \cdot \frac{-\frac{40}{125} \cdot 15.625}{\frac{8}{125} - \frac{10}{25}}
= \frac{-\frac{481}{100}}{-3.75} \cdot \frac{-\frac{625}{500} \cdot 15.625}{\frac{8}{125} - \frac{10}{25}}
= \frac{\frac{481}{100} \cdot \frac{1}{3.75} \cdot \frac{625}{500} \cdot 15.625}{\frac{8}{125} - \frac{10}{25}}
= \frac{\frac{481}{375} \cdot \frac{125}{2} \cdot 15.625}{\frac{8}{125} - \frac{5}{25}}
= \frac{\frac{481}{375} \cdot 62.5 \cdot 15.625}{\frac{8}{125} - \frac{5}{25}}
= \frac{0.67946666667 \cdot 62.5 \cdot 15.625}{0.1 - 0.2}
= \frac{668.479166675}{-0.1}
= -6684.7916675.